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Your investment portfolio consists of $15,000 invested in only one stock—Microsoft. Suppose the risk-free rate is 5%, Microsoft stock has an expected return of 12% and a volatility of 40%, and the market portfolio has an expected return of 10% and a volatility of 18%. Under the
- a. What alternative investment has the lowest possible volatility while having the same expected return as Microsoft? What is the volatility of this investment?
- b. What investment has the highest possible expected return while having the same volatility as Microsoft? What is the expected
return of this investment ?
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- Give typing answer with explanation and conclusion The return on the Tarheel Corporation stock is expected to be 14 percent with a standard deviation of 9 percent. The beta of Tarheel is 0.9. The risk-free rate is 6 percent, and the expected return on the market portfolio is 16 percent. What is the probability that an investor in Tarheel will earn a rate of return less than the required rate of return? Assume that returns are normally distributed. Use Table V to answer the question. Round z value in intermediate calculation to two decimal places. Round your answer to the nearest whole number.arrow_forwardThe expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%. A. What is the Sharpe ratio for Stock A and Stock B? Show your calculation steps briefly and clearly. B. Calculate the optimal risky portfolio P*. You do not need to show your calculation steps for this subquestion. C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe? You do not need to show your calculation steps for this subquestion. D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.arrow_forwardSuppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 12% 40% B 21% 60% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return? multiple choice Yes Noarrow_forward
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